Along this way, main work on the quantum to classical transition of inflation [1]}, [2]}, [3]}, [4]} has focused largely on the squeezing of the quantum state for each mode. This squeezing, present on super-Hubble scales at the end of inflation, means that the
inflaton is effectively taking on different values at widely separated points in space, which
leads to an inhomogeneity in the temperature after inflation which means quantum expectation values
of products of quantities in a highly squeezed state bring out to be identical to stochastic
averages calculated from a stochastic distribution of classical quantity configurations.
